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21102200196 = 22371170132579
BaseRepresentation
bin10011101001110010…
…100000010110000100
32000110122111211200020
4103221302200112010
5321204130401241
613405541215140
71344634512360
oct235162402604
960418454606
1021102200196
118a49707380
12410b1014b0
131cb3b48bbc
1410428382a0
158378d8b66
hex4e9ca0584

21102200196 has 96 divisors (see below), whose sum is σ = 61477678080. Its totient is φ = 5473104000.

The previous prime is 21102200167. The next prime is 21102200267. The reversal of 21102200196 is 69100220112.

It is a super-2 number, since 2×211022001962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631435 + ... + 664013.

It is an arithmetic number, because the mean of its divisors is an integer number (640392480).

Almost surely, 221102200196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30738839040).

21102200196 is an abundant number, since it is smaller than the sum of its proper divisors (40375477884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21102200196 is a wasteful number, since it uses less digits than its factorization.

21102200196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33305 (or 33303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 21102200196 in words is "twenty-one billion, one hundred two million, two hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 701 924 1402 2103 2804 4206 4907 7711 8412 9814 14721 15422 19628 23133 29442 30844 32579 46266 53977 58884 65158 92532 97737 107954 130316 161931 195474 215908 228053 323862 358369 390948 456106 647724 684159 716738 912212 1075107 1368318 1433476 2150214 2508583 2736636 4300428 5017166 7525749 10034332 15051498 22837879 30102996 45675758 68513637 91351516 137027274 159865153 251216669 274054548 319730306 479595459 502433338 639460612 753650007 959190918 1004866676 1507300014 1758516683 1918381836 3014600028 3517033366 5275550049 7034066732 10551100098 21102200196